S. Tadaki, DISTRIBUTION OF JAM CLUSTERS IN A 2-DIMENSIONAL CELLULAR-AUTOMATON TRAFFIC FLOW MODEL WITH OPEN BOUNDARIES, Journal of the Physical Society of Japan, 66(3), 1997, pp. 514-517
The distribution of jam clusters in a two-dimensional cellular automat
on model of traffic flow with open boundaries is investigated by compu
ter simulation. The size distribution of jam clusters obeys the power
law of the injection rate in the high-injection-rate region. The total
number of unmoved cars in jam clusters shows a sharp transition at th
e critical injection rate and can be an adequate order parameter descr
ibing the phase transition with the emergence of a traffic jam.